Given that ACDE, CBFG, and ABIH are squares and the side of the equilateral △ABC is 1 in. Find the square of the value of the shaded area.
Answers
Answer:
6.75
Step-by-step explanation:
The shaded area amounts to two congruent equilateral triangles. Each has a side length of 2(1 in)cos(30°) = √3 in.
The height of an equilateral triangle with side length √3 is ...
height = (√3 in)sin(60°) = 3/2 in
Then the area of the two equilateral triangles is ...
A = bh = (√3 in)(3/2 in) = 3√3/2 in^2
The square of the numerical value of the area is ...
A^2 = ((3/2)(√3))^2 = 27/4 = 6.75
The square of the shaded area is 6.75.
Related Questions
What is this histogram please help ASAP!
Answers
Answer:
skewed left
Step-by-step explanation:
The data distribution is significantly higher on the left, making it skewed to the left.
Answer: B or option 2, "Skewed Left"
Complete the table for the given rule. Rule: y=x-3
Answers
Answer:
x y
7 4
4 1
10 7
(would really, reallly appreciate the brainliest)
Answer:
x y
7 4
4 1
10 7
Increases about 1.3
i will mark brainliesttt!
Answers
Answer:
35 degrees
Step-by-step explanation:
90 -55 = 35
Answer:
35 is the measure of its complimentary angle!
Step-by-step explanation:
Complimentary angles have a sum of 90.
90-55=?
35 is the measure of its complimentary angle!
Hope this helps! Please mark brainliest :)
Cory has a rectangular piece of cardboard that measures 36 inches 24 inches. He cuts out squares of 4 inches from each corner of the cardboard. Then he folds and tapes the sides together to make an open box 36 inches 24 inches What is the volume of the open box?
Answers
Answer:
1792 cubic inches
Step-by-step explanation:
The rectangular cardboard measures 36 inches by 24 inches.
If he cuts out squares of 4 inches from each corner of the cardboard.
See the attached image
The Length of the box =36-4-4=28 inches
The Width of the box =24-4-4=16 inches
Height of the Box =4 Inches
Therefore:
Volume of the open box =28 X 16 X 4
=1792 cubic inches
15 points
Help!!
If Sue worked 7 1/4 hours on Monday, 3 hours on Tuesday, 6 3/4 hours on Wednesday, 8 hours on Thursday, and 5 hours on Friday, calculate her weekly wage at $4.10 per hour
Answers
Answer:
$123
Step-by-step explanation:
Let's find the total amount of hours Sue worked. To do so, we'll do 7.25 + 3 + 6.75 + 8 + 5 = 30 total hours. Now, we'll multiply 4.1 by 30 because she receives $4.10 for every hour. 4.1 * 30 = $123. Hope this helps!
Maria drew a shape with four sides. The shape had one pair of parallel opposite sides. What kind of shape did Maria draw? Write the name of the shape.
Answers
Answer:
Marie could have drawn a parallelogram or A trapezoid
Step-by-step explanation:
one pair of parallel opposite sides.
I need someone help ASAP
Answers
Answer:
The first one is correct
8/3
The solution to ? Is m= 1.
A). m + 2 = 1
B). m + 1 = 3
C). m + 1 = 2
D). m - 2 = 1
Answers
Answer: C
Step-by-step explanation:
not A because m=1 so 1+2 doesn’t equal 1.
Not B because m=1 and 1+1=2 not 3.
Not D because m=1 and 1-2= a negativ.
C because m=1 and 1+1=2 like shown for C.
Sorry if I’m wrong.
what is the solution to the equation -3d/d^2-2d-8+3/d-4 = -2/d+2
A. d = -4 and d = 2
B. d = -2 and d = 4
C. d = 1
D. d = 2
Answers
Answer: its C d=1
Step-by-step explanation:
im right
A random sample of n1 = 16 communities in western Kansas gave the following information for people under 25 years of age.
x1: Rate of hay fever per 1000 population for people under 25
144 89 119 119 125 136 91 109 111 108 116 123 120 121 115 123
A random sample of n2 = 14 regions in western Kansas gave the following information for people over 50 years old.
x2: Rate of hay fever per 1000 population for people over 50
109 109 90 81 85 94 92 106 110 89 87 94 100 90
Assume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group over 50 has a lower rate of hay fever? Use α =0.05. If , will you reject or fail to reject the null hypothesis? Are the data statistically significant at confidence level α?
a
Since the P-value is less than the level of significance, the data are statistically significant. Thus, we fail to reject the null hypothesis.
b
Since the P-value is greater than the level of significance, the data are statistically significant. Thus, we reject the null hypothesis.
c
Since the P-value is less than the level of significance, the data are not statistically significant. Thus, we reject the null hypothesis.
d
Since the P-value is less than the level of significance, the data are not statistically significant. Thus, we fail to reject the null hypothesis.
e
Since the P-value is less than the level of significance, the data are statistically significant. Thus, we reject the null hypothesis.
Answers
Answer:
x8 9x
Step-by-step explanation:
A pair of snow boots at an equipment store in Big Bear that originally cost $80 is on sale for $56. What is the rate of discount?
Answers
Divide the sale price by the original price:
56 / 89 = 0.7
Multiply by 100:
0.7 x 100 = 70%
The sale price is 70% of the original price, so the discount would be 30% (100-70= 30)
A line with a slope of 7 and an x-intercept of 4 passes through which of the following points?
A. (4,9)
B. (-3,7)
C. (3,-7)
D. (3,7)
Answers
Which item has the most volume?
A. A grape
B. A ping-pong ball
C. A basketball
D. A tennis ball
Answers
This table shows covalent compounds being investigated by five scientists. Each scientist wants to give a chemical name to the compound.
Which scientist(s) incorrectly named her compound? Check all that apply.
Adele
Ethel
Kate
Audrey
Halley
Answers
Answer:
Adele
Ethel
Kate
Audrey
Step-by-step explanation:
i know that oxygen is correct so thats my answe
Answer:
Audrey and Ethel
Step-by-step explanation:
It was on edge 2023
Which of the following inequality statements best represent the verbal expression? the product of a number and 2 is no more than 5
2a ≥ 5
2a ≤ 5
a + 2 ≥ 5
a+ 2 ≤ 5
Answers
Answer:
b
Step-by-step explanation:
what two numbers multiply to -42 and add to 19
Answers
Answer:
-2 x 21 = -42
21 + (-2) = 19
Step-by-step explanation:
Answer:-2 and 21
Step-by-step explanation: -2+21=19 and -2*21=-42
2a+3/2 - a-2/3 = a-1/4
Answers
Answer:
No solutions
Step-by-step explanation:
[tex]2a+\dfrac{3}{2}-a-\dfrac{2}{3}=a-\dfrac{1}{4}\\a+\dfrac{5}{9}=a-\dfrac{1}{4}\\\dfrac{5}{9}=\dfrac{1}{4}[/tex]
This equation has no solutions. Hope this helps!
Answer:
No solution
Step-by-step explanation:
2a+3/2 - a-2/3 = a-1/4.
2a- a +3/2 - 2/3 = a-1/4. Add like terms
a + 5/6 = a - 1/4. Variables and numbers on diferent sides
-a. -5/6. -a. -5/6
0 = -13/12
No solution because there are no a's that can make the equation true
what is the radius and diameter of the following circle
Answers
Radius= Half the diameter
Radius= 12cm
The volume formula for a right pyramid is V=
= Bh. What does Brepresent?
O A. Area of the base
B. Perimeter of the base
C. Length of the base
O D. Volume of the base
Answers
Answer:
A.Area of the base
Step-by-step explanation:
these is obtained by multiplying the length and width of the base to get the area of the base
The variable B in the Formula is area of Base.
What is Volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Pyramid volumes are measured by how much space they take up or by how many unit cubes can fit inside of them. A pyramid is a polyhedron because it has polygonal faces.
As, Volume of pyramid = (1/3) (Bh), where
B = Area of the base of the pyramid
h = Height of the pyramid.
So, B in the Formula is area of Base.
Learn more about volume here:
https://brainly.com/question/24086520
#SPJ7
Find the area of the figure.
Answers
Answer: 13300
Step-by-step explanation:
help plz help plz help plz help plz
Answers
Answer:
Step-by-step explanation:
21. 136° and b are supplementary, meaning they have a sum of 180°. This means that 136° + b = 180° → b = 44°.
22. Again, the angles are supplementary which means that 61° + b = 180° → b = 119°.
23. Again, they are supplementary which means that x - 22° + 135° = 180° → x + 113° = 180° → x = 67°.
24. I'm pretty sure you get the gist of this. 6x + 3° + 87° = 180° → 6x + 90° = 180° → 6x = 90° → x = 15°
Hope this helps!
Answer:
139o
Step-by-step explanation:
Will mark brainliest PLEASE HELP!!! 20 points
The coordinates of point A are (6,2).
The coordinates of point B are (2, 6).
Line AB is transformed to form line A'B' shown in the graph:
What is the transformation of line AB that results in line A'B'?
Line AB is
A reflected across the y-axis
B reflected across the x-axis
C rotated 180°
D translated
Answers
Answer:
B. reflected across tge x axis
Answer:
The answer is B
Step-by-step explanation:
if the radius of the circular region is 5 yards what was the total length of the border to the nearest tenth of a yard
Answers
Answer: 31.4
Step-by-step explanation:
The circumference formula is 2πr
In this case, the r is equal to 5
5×2 is 10
10π
Plug that into a calculator
31.4
Andrea bought 12 bagels and 10 muffins at the bakery. of these items 2/3 of the bagels were multigrain and 3/5 of the muffins were bran muffins. How many multigrain bagels did Andrea buy and how many bran muffins did Andrea buy
Answers
Answer:
She bought 8 multigrain bagels and 6 bran muffins
Step-by-step explanation:
If it says of, then it means multiply.
So it is 2/3 of 12 bagels, which is 2/3 x 12 which is 8
If it says 3/5 of 10 muffins, it is 3/5 x 10 which is 6.
ANSWER QUICK. I NEED ANSWER IN 5 MINUTES.
Answers
Answer:
Plug the ordered pair (2,5) into the given equation, if it makes the equation true, then it is a solution.
Step-by-step explanation:
y = 2x + 3
substituting : 5 = 2(2) + 3
5 = 4 + 3
5 = 7, this is false, therefore (2,5) is NOT a solution
Answer:
A linear equation's solution would be a coordinate when the value of x and y satisfies the equation.
For Example:
[tex](1,7)[/tex] will be a solution to the equation [tex]y=3x+4[/tex], because if you replace x and y with one and seven it satisfies the equation.
[tex]y=3x+4\\y=7 \\x=1\\\text {Solve: }\\7=3(1)+4\\\rightarrow3*1=3\\7=3+4\\\boxed {7=7}[/tex]
[tex](1,7)[/tex] also lies on the equation's line.
Brainilest Appreciated.
Use the data set $19, $18, $15, $17, $19, $12, $19, and $15. Which measure of center would you use to convince people that the prices are high?
F. mean G. median
H. mode
I. none of these
Answers
Answer:
H. Mode: 19
Step-by-step explanation:
12, 15, 15, 17, 18, 19, 19, 19
Mean: 12 + 15 + 15 + 17 + 18 + 19 + 19 + 19 = 134/8 = 16.75
Mode: 19
Median: 17.5
The expression 1 + tan² x is equivalent to
Answers
Answer:
= sec² (x)
i dont know if it is correct.
equivalent ratios to 10:30 there are three answers.
Answers
Step-by-step explanation:
choice 1, 3, 5 ................
Answer:
1:3
2:6
5:15
Step-by-step explanation:
Here is a list of numbers:
-20, -6, -12, 18, 14, 18, -15,-9,-4,-10
State the median.
Answers
Answer:
-7.5
Step-by-step explanation:
Put all the numbers in order (least to greatest)
-20, -15, -12, -10, -9, -6, -4, 14, 18, 18
Find the number in the middle
-9 and -6
Add -9 and -6 together and divide by 2 to get median.
-7.5
Why did donald trump take a hump on a speed bump
Answers
Answer:
Because he's an idiot
Step-by-step explanation:
Answer:
Because...
Step-by-step explanation:
he's our wack president